Answer: 1
Step-by-step explanation:
3x + 8x-8= 3
11x-8=3
Then you move the 8 to the other side and change it to a positive.
11x= 11
11x/11 = 11/11
Answer is 1
![\boxed{a_{n}=-3+8(n-1)}](https://tex.z-dn.net/?f=%5Cboxed%7Ba_%7Bn%7D%3D-3%2B8%28n-1%29%7D)
<h2>
Explanation:</h2>
The explicit formula for the general nth term of the arithmetic sequence is given by:
![a_{n}=a_{1}+d(n-1) \\ \\ \\ Where: \\ \\ a_{n}:nth \ term \\ \\ n:Number \ of \ terms \\ \\ a_{1}:First \ term \\ \\ d:common \ difference](https://tex.z-dn.net/?f=a_%7Bn%7D%3Da_%7B1%7D%2Bd%28n-1%29%20%5C%5C%20%5C%5C%20%5C%5C%20Where%3A%20%5C%5C%20%5C%5C%20a_%7Bn%7D%3Anth%20%5C%20term%20%5C%5C%20%5C%5C%20n%3ANumber%20%5C%20of%20%5C%20terms%20%5C%5C%20%5C%5C%20a_%7B1%7D%3AFirst%20%5C%20term%20%5C%5C%20%5C%5C%20d%3Acommon%20%5C%20difference)
Here we know that:
![a_{1}=-3 \\ \\ a_{10}=69](https://tex.z-dn.net/?f=a_%7B1%7D%3D-3%20%5C%5C%20%5C%5C%20a_%7B10%7D%3D69)
So, our goal is to find the common difference substituting into the formula:
![a_{10}=a_{1}+d(10-1) \\ \\ 69=-3+d(9) \\ \\ Solving \ for \ d: \\ \\ 9d=69+3 \\ \\ 9d=72 \\ \\ d=8](https://tex.z-dn.net/?f=a_%7B10%7D%3Da_%7B1%7D%2Bd%2810-1%29%20%5C%5C%20%5C%5C%2069%3D-3%2Bd%289%29%20%5C%5C%20%5C%5C%20Solving%20%5C%20for%20%5C%20d%3A%20%5C%5C%20%5C%5C%209d%3D69%2B3%20%5C%5C%20%5C%5C%209d%3D72%20%5C%5C%20%5C%5C%20d%3D8)
Finally, we can write the explicit formula as:
![\boxed{a_{n}=-3+8(n-1)}](https://tex.z-dn.net/?f=%5Cboxed%7Ba_%7Bn%7D%3D-3%2B8%28n-1%29%7D)
<h2>Learn more:</h2>
Geometric series: brainly.com/question/1509142
#LearnWithBrainly
Answer:
The space needle is 62.95 m tall.
Step-by-step explanation:
Given that,
The height of the shadow, h = 67 m
The angle of elevation from the tip of the shadow to the top of the Space Needle is 70°.
We need to find the height of the space needle.
The shadow of space needle is hypotenuse of right angled triangle. Let the height of the space needle is x m. Using trigonometry,
![\sin\theta=\dfrac{x}{h}\\\\x=h\times \sin\theta\\\\x=67\times \sin(70)\\\\x=62.95\ m](https://tex.z-dn.net/?f=%5Csin%5Ctheta%3D%5Cdfrac%7Bx%7D%7Bh%7D%5C%5C%5C%5Cx%3Dh%5Ctimes%20%5Csin%5Ctheta%5C%5C%5C%5Cx%3D67%5Ctimes%20%5Csin%2870%29%5C%5C%5C%5Cx%3D62.95%5C%20m)
So, the space needle is 62.95 m tall.
Answer:
This appears to be in another language.
Step-by-step explanation:
Ajutatima va rog, first and foremost is simply nonsense in the English language.